Question

a well with 14 inside diameter is dug 8m deep. the earth taken out of it has been evenly spread all around it to a width of 21m to form an embarkment .find the height of the embarkment

Answer 1

Given

• Diameter = 14m
• Radius = 7m
• Depth = 8m
• Let Height of embankment = Xm

To find

• Height of the embankment ?

Solution

Volume of earth dug out from well = $\sf{\red{πr²}}$

➲ $\frac{22}{7}$× 7 × 7 × 8

$\boxed{\text{→ 1232m³}}$

The earth Spread out of width = 21m

Area × h = 1232

$\boxed{\text{➲π(R²-r²)h = 1232 }}$

➲$\frac{22}{7}$(28²-7²)h = 1232

➲$\frac{22}{7}$(735)h= 1232

➲h = $\frac{1232×7}{22×735}$

➲h = $\frac{8624}{16170}$

$\boxed{\text{ ➲h = 0.533m }}$

$\boxed{\text{➲h = 53.3cm }}$

Height of embankment is 53.3cm